Here are some shots of me that I applied Fractal Droste effect - Single Spiral in the graphics software called Photo Brush 5.30. Photo Brush is a paid software but you can try it for 30 days. This technique is commonly used by Josh Sommers manipulation in the photos, but he uses Mathmap and Pixel Bender, the plugin in Photoshop.

Photo Brush 5 also has variety of other techniques to manipulate images such as the Little Planet, Polar Coordinates, Liquid Warp and others.